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Finding the Fourth Proportional to 78,337.89, 108,106 and 42,527.64

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Solution

The fourth proportional to 78,337.89, 108,106 and 42,527.64 is: 58,687.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,337.89 : 108,106 = 42,527.64 : x
  2. Step 2: Convert to fraction form
    78,337.89/108,106 = 42,527.64/x
  3. Step 3: Cross multiply
    78,337.89x = 108,106 × 42,527.64
  4. Step 4: Simplify right side
    78,337.89x = 4,597,493,049.84
  5. Step 5: Solve for x
    x = 4,597,493,049.84/78,337.89
  6. Step 6: Final answer
    x = 58,687.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.